213099432 has 192 divisors, whose sum is σ = 682577280. Its totient is φ = 54931968.

The previous prime is 213099407. The next prime is 213099461. The reversal of 213099432 is 234990312.

213099432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213099432² = 90822735837445248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 213099393 and 213099402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 810133 + ... + 810395.

It is an arithmetic number, because the mean of its divisors is an integer number (3555090).

Almost surely, 2^213099432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213099432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341288640).

213099432 is an abundant number, since it is smaller than the sum of its proper divisors (469477848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213099432 is a wasteful number, since it uses less digits than its factorization.

213099432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 213099432 is about 14597.9256060579. The cubic root of 213099432 is about 597.3021766518.

It can be divided in two parts, 213099 and 432, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 213099432 in words is "two hundred thirteen million, ninety-nine thousand, four hundred thirty-two".